Geostatistical Modelling of a High-grade Iron Ore Deposit (2024)

Authors

  • Geostatistical Modelling of a High-grade Iron Ore Deposit (1)Rahul K. Singh

    Department of Applied Geology, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826 004
  • Geostatistical Modelling of a High-grade Iron Ore Deposit (2)Bhabesh C. Sarkar

    Department of Applied Geology, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826 004
  • Geostatistical Modelling of a High-grade Iron Ore Deposit (3)Dipankar Ray

    Automation Centre, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826 004

DOI:

https://doi.org/10.1007/s12594-021-1815-y

Keywords:

No Keywords

Abstract

Precambrian banded iron formations (BIFs) of Singhbhum-Keonjhar-Bonai iron ore belt in eastern India host several high grade iron ore deposits. The deposits have been formed due to supergene enrichment of parent BIFs by gradual removal of SiO2and Al2O3under continuous process of leaching. With intensity of leaching differing spatially, the deposits exhibit variation in Fegrade both laterally and vertically. The extent of such variation in space is a function of the scale at which observations are made. Modelling of spatial variabilities at observation scale provides an appropriate means to estimate spatially distributed block values. The present study focusses on spatial variability analysis, ordinary kriging (OK) and sequential Gaussian simulation (SGS) for Fegrade modelling using drill-hole exploration data of a high grade iron ore deposit located in the Singhbhum-Keonjhar-Bonai iron ore belt. Classical statistical modelling revealed a three-parameter lognormal fit to the negatively skewed Fe distribution, and a two-parameter lognormal fit to the positively skewed SiO2and Al2O3distributions. Spatial variability modelling revealed a spherical model fit in respect of Fe, SiO2and Al2O3. A moderately high ratio of nugget-to-sill variance reflect intrinsic characteristic of banded nature of Fe mineralization as evident in BIFs with varying proportions of iron, alumina and silica. Blocks of 15m × 15m × 10m size equalling the dimension of a mining unit configured within a 3D volume bounded vertically between 875 mRL and 705 mRL and laterally between 310W to 540E and 260S to 1600N have been evaluated employing OK. Stacking of altogether seventeen horizontal slices vertically down from 870 mRL to 710 mRL led to an estimate of iron ore inventory as 124.48 mt with overall mean kriged estimate as 63.93% and mean kriging variance as 2.83 (%)2. Statistical regression analysis of OK estimates and original sample values provided a regression slope of 1.03, thereby qualifying the conditional unbiasedness of the OK estimates. SGS study provided multiple equi-probable realisations with histogram and spatial variability closely approximating to that of the original sample values.

Geostatistical Modelling of a High-grade Iron Ore Deposit (4)

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Issue

Section

Research Articles

Downloads

  • Requires SubscriptionPDF

Published

2023-12-17

How to Cite

Singh, R. K., Sarkar, B. C., & Ray, D. (2023). Geostatistical Modelling of a High-grade Iron Ore Deposit. Journal of Geological Society of India, 97(9), 1005–1012. https://doi.org/10.1007/s12594-021-1815-y

  • ACM
  • ACS
  • APA
  • ABNT
  • Chicago
  • Harvard
  • IEEE
  • MLA
  • Turabian
  • Vancouver

Download Citation

  • Endnote/Zotero/Mendeley (RIS)
  • BibTeX

Geostatistical Modelling of a High-grade Iron Ore Deposit (6)

Geostatistical Modelling of a High-grade Iron Ore Deposit (7)

Geostatistical Modelling of a High-grade Iron Ore Deposit (8)

References

Annels, A.E. (1992) Mineral Deposit Evaluation: A practical approach. Springer Science and Business Media, 436p.

David, M. (1977) Geostatistical Ore Reserve Estimation. Elsevier Scientific Publ., Amsterdam, Netherlands, 364p.

David, M. (1988) Handbook of Applied Advanced Geostatistical Ore Reserve Estimation. Elsevier (Developments in Geomathematics 6), Elsevier Scientific Publ., Amsterdam, 216p.

Davis, B.M. and Borgman, L.E. (1979) A Test of Hypothesis Concerning a Proposed Model for the Underlying Variogram. Proc., 16th APCOM, pp.163-181.

Gandhi, S.M. and Sarkar, B.C. (2016) Essentials of Mineral Exploration and Evaluation. Elsevier, pp.289-303. DOI: 10.1016/C2015-0-04648-2

IBM (2018), Ministry of Mines Notification, Nagpur, pp. 3-4. https:// ibm.gov.in/writereaddata/files/06072018145450Gazette_Notification_ thresholdvalue.pdf

IBM (2019) Indian Minerals Year Book. Indian Bureau of Mines, Mineral Statistics Division, Ministry of Mines, Government of India, Nagpur, India, v.1 (part III), 33p. https://ibm.gov.in/writereaddata/files/ 12072020124124Iron%20Ore_2019_AR.pdf Journel, A. and Huijbregts, C. (1978) Mining Geostatistics. Academic Press,London, 600p.

Krige, D.G. (1951) A statistical approach to some mine valuation and allied problems on the Witwatersrand. M.Sc. Thesis, University of Witwatersrand, Johannesburg, pp.10-14.

Krige, D.G. (1996) A practical analysis of the effects of spatial structure and data available and used on conditional biases in ordinary kriging. 5th Int. Geostatistics Congress, Wollongong, Australia. http://www.saimm.co.za/ Conferences/DanieKrige/DGK43.pdf

Lantuejaul, C. (2001) Geostatistical Simulations: Models and Algorithms. Springer, 256p. DOI: 10.1007/978-3-662-04808-5

Matheron, G. (1963) Principles of geostatistics. Economic Geology, v.58(8), pp.1246-1266. DOI: 10.2113/gsecongeo.58.8.1246

Matheron, G. (1971) The theory of regionalised variables and its applications. Les Cahiers du Centre de Morphologie Mathématique, v.5, pp.212-212. http://cg.ensmp.fr/bibliotheque/public/MATHERON_Ouvrage_00167.pdf

Pan, G. (1998) Smoothing effect, conditional bias and recoverable reserves. Canadian Inst. Mining Metall. Bull., v.91(1019), pp.81-86.

Remy, N., Boucher, A. and Wu, J. (2009) Applied Geostatistics with SGeMS: a user’s guide. Cambridge, UK, Cambridge University Press, 264p.

Rossi, M.E. and Deutsch, C.V. (2014) Mineral Resource Estimation. Springer, New York, 331p. DOI: 10.1007/978-1-4020-5717-5

Saha, A.K., Ray, S.L. and Sarkar, S.N. (1988) Early History of Earth: Evidence from the Eastern Indian shield. In: D. Mukhopadhyay (Ed.), Precambrian of the Eastern Indian shield. Mem. Geol. Soc. India, no.8, pp.13-37.

SAIL (2009) Mining plan for Kiriburu Meghataburu Iron Ore Mines. Steel Authority of India Limited, Unpublished Report, v.1, 135p.

Sarkar, B.C. (1988) An integrated system for geology-controlled geostatistical evaluation. PhD thesis, Royal School of Mines, Imperial College, London, 218p.

Sarkar, B.C., O’Leary, J. and Mill, A.J.B. (1988) An integrated approach to geostatistical evaluation, Mining Magz., v.159(3), pp.199-207.

Sarkar, B.C. and Roy I. (2005) A Geostatistical Approach to Resource Evaluation of Kalta Iron Ore Deposit, Sundargarh District, Orissa. Jour. Geol. Soc. India, v.65(5), pp.553-561.

Sarkar, B.C. (2014) Geostatistics: Concepts and Applications in Mineral Deposit Modelling for Exploration and Mining. Jour. Indian Geol. Cong., v.6(1), pp.3-16.

Sarkar, B.C., Singh. R.K., Ray, D., Kumar, A., Sinha, P.K. and Sarkar, V. (2017) Iron ore grade modelling using geostatistics and artificial neural networks. In: Proc. Conference on Iron Ore 2017, Perth, pp.431-437.

Sinclair, A.J. and Blackwell, G.H. (2002) Applied Mineral Inventory Estimation. Cambridge University Press, UK, 381p. DOI: 10.1017/CBO978051 1545993

Wang, H. and Flournoy, N. (2015) On the consistency of the maximum likelihood estimator for the three parameter lognormal distribution. Statis. Probab. Lett., pp.1-12.

Geostatistical Modelling of a High-grade Iron Ore Deposit (2024)
Top Articles
Latest Posts
Article information

Author: Gregorio Kreiger

Last Updated:

Views: 6558

Rating: 4.7 / 5 (57 voted)

Reviews: 80% of readers found this page helpful

Author information

Name: Gregorio Kreiger

Birthday: 1994-12-18

Address: 89212 Tracey Ramp, Sunside, MT 08453-0951

Phone: +9014805370218

Job: Customer Designer

Hobby: Mountain biking, Orienteering, Hiking, Sewing, Backpacking, Mushroom hunting, Backpacking

Introduction: My name is Gregorio Kreiger, I am a tender, brainy, enthusiastic, combative, agreeable, gentle, gentle person who loves writing and wants to share my knowledge and understanding with you.